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Finding the Third Proportional to 30,302 and 61,840

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Solution

The third proportional to 30,302 and 61,840 is: 126,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302 : 61,840 = 61,840 : x
  2. Step 2: Convert to fraction form
    30,302/61,840 = 61,840/x
  3. Step 3: Cross multiply
    30,302x = 61,840 × 61,840
  4. Step 4: Simplify right side
    30,302x = 3,824,185,600
  5. Step 5: Solve for x
    x = 3,824,185,600/30,302
  6. Step 6: Final answer
    x = 126,202.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.